Find the exponential function y = C e^{kt} that passes through the two points (1, 1), (5, 5). Find the exponential function y = C e^kt that passes through the two points (0, 3 / 2), (4, 3). Find the exponential function y = C e^kt that passes through the two points (...
A function is evaluated by solving at a specific value. An exponential model can be found when the growth rate and initial value are known. An exponential model can be found when the two data points from the model are known. An exponential model can be found using two data points from a...
"Do two points always determine an exponential function?" Assuming that we are speaking about an exponential function of the formf(x)= abx, the answer is"Yes, under certain conditions."The conditions are that (1)a≠ 0 (because you would have a straight line), (2) that thex-coordinates...
We must use the information to first write the form of the function, determine the constants a and b, and evaluate the function.tip for success When writing an exponential model from two data points, recall the processes you’ve learned to write other types of models from data points ...
knowledge, grow points, establish new and old knowledge connections, and integrate the images on the basis of understanding the concepts, and use the combination of numbers and shapes to clear the obstacles. Two, teaching method design Because of the special status of "index function" of...
We wish to find the exponential function {eq}y = C{e^{kt}} {/eq} that passes through the two points (1, 1) and (5, 5). Any point that lies on the...Become a member and unlock all Study Answers Try it risk-free for 30 days Try it risk-free Ask a question...
We can understand the process ofgraphingexponential function by taking some examples. Let us graph two functions f(x) = 2xand g(x) = (1/2)x. To graph each of these functions, we will construct a table of values with some random values of x, plot the points on the graph, connect ...
Do two points always determine an exponential function?Alignment: MAFS.912.F-LE.1.2An exponential function is a function of the form f(x) = abx whe..
If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abxand solving for a and b. In general, you have to solve this pair of equations: ...
From this formula, you can start with -2 for thexvariable and increment it by 1 to calculate your plot points up to 2, which gives you five results. The x variable provides the x-axis coordinates, and the function's results provide the y-axis coordinates, as shown in the table. ...